few_shots: Example:
Problem/activity:
Task
Cruz and Erica were both getting ready for soccer.
Cruz ran 1 lap around the school.
Erica ran 3 laps around the playground.
Erica said,
I ran more laps, so I ran farther.
Cruz said,
4 laps around the school is 1 mile, but it takes 12 laps around the playground to go 1 mile. My laps are much longer, so I ran farther.
Who is right? Draw a picture to help you explain your answer.


Standard options: 
A. Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
B. Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.


Thought: This task asks students to compare two fractions that are equal. The two fractions have different numerators and denominators (e.g. 1/4 and 3/12). The students need to explain why the two fractions are equal by drawing a picture, which involves using visual fraction models.
Answer: A, B

Now, assign the following problem or activity to one or more relevant standards it aligns with.
shot_info: im_task_000212

4
options: Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).

Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).

Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).
problem_activity: Task
Global Positioning System or GPS devices receive input from satellites and use
this information to locate our position on the planet.   The information received from
each individual satellite gives the distance from the GPS  device to that satellite and the location of the satellite.  The set of points at a fixed distance from a satellite form
a sphere so when the GPS receives its distance from a given satellite, this tells
us that it lies on a particular sphere.  Data from several satellites will
locate the GPS device on the intersection of spheres.  This problem examines different scenarios for intersections of spheres from the point of view of the GPS device: how many
different satellites are needed to locate the GPS device?  Does it matter how
the satellites are configured in space?
Below is a sample picture showing three satellites and their distances, $d_1, d_2, d_3$ from a point on the earth:
[IMG]
The three parts of this problem investigate different positions of the three
satellites pictured above: the goal is to find scenarios where one, two or three of the distances
$d_1$, $d_2$, $d_3$ are (or are not) sufficient to locate the GPS unit.
Give an example of a satellite and GPS location so that the GPS device can determine its location on the earth with input
from this single satellite.  Also give an example when this one signal does not provide
enough information  to designate a location on the earth.
Give  an example of a configuration of two satellites  and the GPS so that the GPS device can determine its location on the earth with input
from the two satellites (but not from either alone).   Also give an example where these two signals do not provide
enough information  to designate a location on the earth.
Give  an example of a configuration of three satellites and the GPS so that  the GPS device can determine its location on the earth with input
from three satellites (but not from any pair of the satellites).   Also give an example where three signals do not provide
enough information  to designate a location on the earth.


correct_option_index: 0